### Table 1. The approximation error for the corresponding point noise distribution in stereo matching

2000

"... In PAGE 3: ... We present the real noise distribution in Figure 2. As one can see from Table1 the Cauchy distribution had the best fit to the measured distribution relative to L1 and L2. There- fore, one expects Lc to have greater accuracy (Table 2).... ..."

Cited by 2

### Table 1. The approximation error for the corresponding point noise distribution in stereo matching

2000

"... In PAGE 3: ... We present the real noise distribution in Figure 2. As one can see from Table1 the Cauchy distribution had the best fit to the measured distribution relative to L1 and L2. There- fore, one expects Lc to have greater accuracy (Table 2).... ..."

Cited by 2

### Table 2. The approximation error for the cor- responding point noise distribution in stereo matching for three distribution models

1998

Cited by 4

### Table 2. The approximation error for the cor- responding point noise distribution in stereo matching for three distribution models

1998

Cited by 4

### Table 1: Contingency Table

in Learning Sequence-to-Sequence Correspondences from Parallel Corpora via Sequential Pattern Mining

2003

"... In PAGE 3: ...2.3 Sequence-to-Sequence Correspondence The effect of sequential pattern mining from bilingual sequence database can better be seen in a contingency table shown in Table1 . Frequencies of a bilingual pattern EiJj, an English pattern Ei, and a Japanese pattern Jj correspond to a, a + b, and a + c respectively.... ..."

Cited by 2

### Table 1: Contingency Table

2003

"... In PAGE 3: ...2.3 Sequence-to-Sequence Correspondence The effect of sequential pattern mining from bilingual sequence database can better be seen in a contingency table shown in Table1 . Frequencies of a bilingual pattern EiJj, an English pattern Ei, and a Japanese pattern Jj correspond to a, a + b, and a + c respectively.... ..."

Cited by 2

### Table 1: Contingency Table

in Learning Sequence-to-Sequence Correspondences from Parallel Corpora via Sequential Pattern Mining

"... In PAGE 3: ...2.3 Sequence-to-Sequence Correspondence The effect of sequential pattern mining from bilingual sequence database can better be seen in a contingency table shown in Table1 . Frequencies of a bilingual pattern EiJj, an English pattern Ei, and a Japanese pattern Jj correspond to a, a + b, and a + c respectively.... ..."

### Table 3: Distributions and matching conjugate posteriors

1994

"... In PAGE 42: ...Learning with Graphical Models 42 prior distributions for those in Table 1, and Table3 gives their matching posteriors [DeG70]. The parameters for these priors can be set using standard reference priors [BT73], or elicited from a domain expert.... In PAGE 55: ... Conjugate priors from Table 2 (using xjy Gaussian) are indexed accordingly as: ijjj ijj Gaussian( 0;ijj; 0;ijj 2 ijj ) for i = 1; 2 and j = 0; 1 ; ?2 ijj Gamma( 0;ijj=2; 0;ijj) for i = 1; 2 and j = 0; 1 ; Notice that 0;ijj is one dimensional when i = 0 and two dimensional when i = 2. Suitable su cient statistics for this situation are read from Table3 by looking at the data summaries used there. This can be simpli ed for x1 because d = 1 and y1 for the Gaussian is uniformly 1.... In PAGE 55: ... Denote x1j0 and x1j1 as the sample means of x1 when var1 = 0; 1 respectively, and s2 1j0 and s2 1j1 their corresponding sample variances. For the second case, this cannot be done, so we use the notation from table 3, where ; ; from Table3 become, respectively, 2jj; 2jj; 2jj. Change the vector y to (1; x1) when making the calculations indicated here.... In PAGE 62: ... The su cient statistics in this case are all counts given by nj = N Xi=1 1classi=j = #class = j ; nv;kjj = N Xi=1 1classi=j1varv;i=k = #varv = k and class = j : The expected su cient statistics computed from the rules of probability for a given set of parameters and 1; 2; 3 are given by nj = N Xi=1 p(classi = jjvar1;i; var2;i; var3;i; phi; 1; 2; 3) ; nv;kjj = N Xi=1 p(classi = jjvar1;i; var2;i; var3;i; phi; 1; 2; 3) 1varv;i=k : Thanks to Lemma 5.2, these expected su cient statistics can be computed automatically for most exponential family distributions, and all those in Table3 . Once su cient statistics are computed for any of the distributions in Table 3, posterior means or modes of the model parameters, in this case and 1; 2; 3, can be found automatically.... In PAGE 62: ...2, these expected su cient statistics can be computed automatically for most exponential family distributions, and all those in Table 3. Once su cient statistics are computed for any of the distributions in Table3 , posterior means or modes of the model parameters, in this case and 1; 2; 3, can be found automatically. 1.... In PAGE 62: ... (b) Recompute and 1; 2; 3 to be equal to their mean (or mode in classic EM) conditioned on the su cient statistics. For the posterior distributions in Table3 , these can be looked up in standard tables, and in most cases found via Lemma 5.2.... ..."

Cited by 189

### Table 3. The approximation error for the corresponding point noise distribution in stereo matching for three dis- tribution models

2000

"... In PAGE 6: ....e. a 5x5 window around the central point. For the training sets, we placed templates around 10 points which were obtained from the ground truth. As one can see from Table3 the Cauchy distribution had the best t to the real noise distribution relative to L1 and L2. Therefore, one expects the accuracy to be the greatest when using Lc (Table 4).... ..."

Cited by 1